Q. Graham's law of diffusion states that the rate of diffusion of a gas is:

ग्राहम का विसरण नियम बताता है कि गैस के विसरण की दर है:

A
Directly proportional to its density
इसके घनत्व के सीधे आनुपातिक
B
Inversely proportional to the square root of its density
इसके घनत्व के वर्गमूल के व्युत्क्रमानुपाती
C
Directly proportional to the square root of its molecular mass
इसके आणविक द्रव्यमान के वर्गमूल के सीधे आनुपातिक
D
Inversely proportional to square root of its molecular mass
इसके आणविक द्रव्यमान के वर्गमूल के व्युत्क्रमानुपाती

Explanation

Graham's Law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.

Mathematical expression: Rate ∝ 1/√M

For two gases: r₁/r₂ = √(M₂/M₁)

Physical basis:

  • Lighter molecules move faster at the same temperature
  • Kinetic energy is the same: ½mv² = constant
  • Therefore: v ∝ 1/√m ∝ 1/√M

Example: H₂ diffuses 4 times faster than O₂

  • M_H₂ = 2, M_O₂ = 32
  • Rate ratio = √(32/2) = √16 = 4

Invest in Future Achievers

Your support helps keep Exam Achiever 100% free for students preparing for exams.

Thanks for your support!

Comments

Leave a Comment